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Which equations have a greater unit rate than the rate represented in the table?

A) y = 9
B) y = 1
C) y = 2
D) y = 3

User Matthew H
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1 Answer

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Final answer:

None of the equations A) y = 9, B) y = 1, C) y = 2, or D) y = 3 have a greater unit rate than the rate represented by the equation y = 9 + 3x, as all options have a unit rate of 0, which is less than 3.

Step-by-step explanation:

To determine which equations have a greater unit rate than the rate represented by y = 9 + 3x, we need to compare the slope (or unit rate) of this equation with the slopes of the options provided. The slope (m) in the equation y = 9 + 3x is 3, which means the unit rate is 3. Therefore, any equation with a slope greater than 3 has a greater unit rate.

Looking at the options:

A) y = 9 has a slope of 0 (it's a horizontal line), so its unit rate is less than 3.

B) y = 1 is also a horizontal line with unit rate 0, so it's less than 3.

C) y = 2 is a horizontal line with unit rate 0, so it's less than 3.

D) y = 3 is a horizontal line with unit rate 0, so it's less than 3.

None of the options A, B, C, or D have a slope greater than that of the equation y = 9 + 3x, so none of the options have a greater unit rate than the rate represented in the original equation.

User Qorsmond
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